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Finding the Third Proportional to 57,340 and 125,696

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Solution

The third proportional to 57,340 and 125,696 is: 275,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,340 : 125,696 = 125,696 : x
  2. Step 2: Convert to fraction form
    57,340/125,696 = 125,696/x
  3. Step 3: Cross multiply
    57,340x = 125,696 × 125,696
  4. Step 4: Simplify right side
    57,340x = 15,799,484,416
  5. Step 5: Solve for x
    x = 15,799,484,416/57,340
  6. Step 6: Final answer
    x = 275,540.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.